Answer :
Certainly! To find approximately 33% of 59 books, we will go through two quick methods that can be used without doing the exact calculation. Here are the steps for each method:
### Method 1: Direct Proportion
1. Understand the percentage: We know that 33% is equivalent to 33 out of every 100 parts.
2. Translate this percentage to a decimal by dividing it by 100: 33% equals 0.33 in decimal form.
3. Multiply the total number of books (which is 59) by this decimal: \( 59 \times 0.33 \).
4. Perform the multiplication: \( 59 \times 0.33 = 19.47 \).
5. Since we are looking for an approximate and you cannot have a fraction of a book, you would round down to the nearest whole number: The approximation would be 19 books.
### Method 2: Rule of Thirds
1. Recognize that 33% is roughly one third.
2. To find one third of the books, divide the total number of books by 3: \( \frac{59}{3} \).
3. Calculate the division: \( \frac{59}{3} = 19.666... \).
4. Round down to avoid fractions of a book: You would get approximately 19 books.
### Comparison:
Both methods yield the approximate answer of 19 books:
- The direct proportion method involves converting the percentage to a decimal and then multiplying it by the total.
- The rule of thirds simplifies the process by recognizing that 33% is close to one third and uses direct division.
These methods are both estimations and work because you are rounding down to the nearest whole book; in cases where you require precision, you would use the exact decimal result without rounding.
